TY  - BOOK
AU  - Carl,Bernd
AU  - Stephani,Irmtraud
TI  - Entropy, compactness, and the approximation of operators
T2  - Cambridge tracts in mathematics
SN  - 9780511897467 (ebook)
AV  - QC20.7.F84 C37 1990
U1  - 515.7 20
PY  - 1990///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Functional analysis
KW  - Entropy (Information theory)
KW  - Approximation theory
KW  - Operator theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - Entropy quantities are connected with the 'degree of compactness' of compact or precompact spaces, and so are appropriate tools for investigating linear and compact operators between Banach spaces. The main intention of this Tract is to study the relations between compactness and other analytical properties, e.g. approximability and eigenvalue sequences, of such operators. The authors present many generalized results, some of which have not appeared in the literature before. In the final chapter, the authors demonstrate that, to a certain extent, the geometry of Banach spaces can also be developed on the basis of operator theory. All mathematicians working in functional analysis and operator theory will welcome this work as a reference or for advanced graduate courses
UR  - https://doi.org/10.1017/CBO9780511897467
ER  -